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Finding the Fourth Proportional to 392.98, 590.19 and 312.34

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Solution

The fourth proportional to 392.98, 590.19 and 312.34 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.98 : 590.19 = 312.34 : x
  2. Step 2: Convert to fraction form
    392.98/590.19 = 312.34/x
  3. Step 3: Cross multiply
    392.98x = 590.19 × 312.34
  4. Step 4: Simplify right side
    392.98x = 184,339.94
  5. Step 5: Solve for x
    x = 184,339.94/392.98
  6. Step 6: Final answer
    x = 469.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.